Orbital stability of the black soliton to the Gross-Pitaevskii equation

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We establish the orbital stability of the black soliton, or kink solution, $\v_0(x) = þ\big(\frac{x}{\sqrt{2}} \big)$, to the one-dimensional Gross-Pitaevskii equation, with respect to perturbations in the energy space.
Final version published in Indiana University Mathematics Journal

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Analysis of PDEs, 35B35, 35Q40, 35Q55

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http://salesiana.dossiersoluciones.com/handle/123456789/218807

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0804.0746
 http://arxiv.org/abs/0804.0746
 Indiana University Mathematics Journal 57, 6 (2008) 2611-2642
 doi:10.1512/iumj.2008.57.3632

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